1728068515400 has 48 divisors (see below), whose sum is σ = 4018260242340. Its totient is φ = 691141222400.

The previous prime is 1728068515373. The next prime is 1728068515409. The reversal of 1728068515400 is 45158608271.

It can be written as a sum of positive squares in 6 ways, for example, as 134722766116 + 1593345749284 = 367046^2 + 1262278^2 .

It is not an unprimeable number, because it can be changed into a prime (1728068515409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1081592 + ... + 2150808.

Almost surely, 2^{1728068515400} is an apocalyptic number.

1728068515400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1728068515400 is an abundant number, since it is smaller than the sum of its proper divisors (2290191726940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1728068515400 is a wasteful number, since it uses less digits than its factorization.

1728068515400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077314 (or 1077305 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 47.

The spelling of 1728068515400 in words is "one trillion, seven hundred twenty-eight billion, sixty-eight million, five hundred fifteen thousand, four hundred".